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Finding the Fourth Proportional to 408,588.49, 563,870.31 and 340,491.46

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Solution

The fourth proportional to 408,588.49, 563,870.31 and 340,491.46 is: 469,893.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,588.49 : 563,870.31 = 340,491.46 : x
  2. Step 2: Convert to fraction form
    408,588.49/563,870.31 = 340,491.46/x
  3. Step 3: Cross multiply
    408,588.49x = 563,870.31 × 340,491.46
  4. Step 4: Simplify right side
    408,588.49x = 191,993,025,102.55
  5. Step 5: Solve for x
    x = 191,993,025,102.55/408,588.49
  6. Step 6: Final answer
    x = 469,893.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.